TY - JOUR
T1 - Global well-posedness of the two-dimensional stochastic viscous nonlinear wave equations
AU - Liu, Ruoyuan
N1 - Funding Information:
The author would like to thank his advisor, Tadahiro Oh, for suggesting this problem and for his support and advice throughout the whole work. The author is also grateful to Gyu Eun Lee and Guangqu Zheng for helpful suggestions and discussions. In addition, the author thanks the anonymous referees for the helpful comments. RL was supported by the European Research Council (Grant no. 864138 “SingStochDispDyn”).
Publisher Copyright:
© 2023, The Author(s).
PY - 2024/6/30
Y1 - 2024/6/30
N2 - We study well-posedness of viscous nonlinear wave equations (vNLW) on the two-dimensional torus with a stochastic forcing. In particular, we prove pathwise global well-posedness of the stochastic defocusing vNLW with an additive stochastic forcing Dαξ, where α<12 and ξ denotes the space–time white noise.
AB - We study well-posedness of viscous nonlinear wave equations (vNLW) on the two-dimensional torus with a stochastic forcing. In particular, we prove pathwise global well-posedness of the stochastic defocusing vNLW with an additive stochastic forcing Dαξ, where α<12 and ξ denotes the space–time white noise.
U2 - 10.1007/s40072-023-00297-7
DO - 10.1007/s40072-023-00297-7
M3 - Article
SN - 2194-0401
VL - 12
SP - 898
EP - 931
JO - Stochastics and Partial Differential Equations: Analysis and Computations
JF - Stochastics and Partial Differential Equations: Analysis and Computations
ER -